Jaemo Park, Kyung-Jae Park
We work out Seiberg-like dualities for 3d $\cN=2$ theories with SU(N) gauge group. We use the $SL(2,\IZ)$ action on 3d conformal field theories with U(1) global symmetry. One of generator S of $SL(2,\IZ)$ acts as gauging of the U(1) global symmetry. Utilizing $S=S^{-1}$ up to charge conjugation, we obtain Seiberg-like dual of SU(N) theories by gauging topological U(1) symmetry of the Seiberg-like dual of U(N) theories with the same matter content. We work out the Aharony dualities for SU(N) gauge theory with $N_f$ fundamental/anti-fundamnetal flavors, with/without one adjoint matter with the superpotential. We also work out the Giveon-Kutasov dualities for SU(N) gauge theory with Chern-Simons term and with $N_f$ fundamental/anti-fundamental flavors. For all the proposed dualities, we give various evidences such as chiral ring matching and the superconformal index computations. For all dualities proposed, we find the perfect matchings.
View original:
http://arxiv.org/abs/1305.6280
No comments:
Post a Comment